Question

Midpoint -7,5 and 5,9

Answer 1

Therefore the Mid point M is M( -1 ,7 ).

Explanation:

Given:

Let the Two points be

point A( x₁ , y₁) ≡ ( -2 ,-2 )

point B( x₂ , y₂) ≡ ( 4 , -10 )

Let M be the Mid point of AB

To Find:

M(x ,y) = ?

Solution:

M is the Mid point of AB

So by Mid -Point Formula we have

`Mid\ point(AB)=((x_(1)+x_(2) )/(2), (y_(1)+y_(2) )/(2))`

Substituting the values we get

`M(x,y)=((-7+5)/(2), (5+9)/(2))`

`M(x,y)=((-2)/(2), (14)/(2))`

`M(x,y)=(-1 , 7)`

Therefore the Mid point M is M( -1 ,7 ).